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3 votes
Log(1/6)36 what is the answer its not 6???

User Bdanin
by
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2 Answers

6 votes
turn it into exponent form, so Log(1/6)36 ⇒ (1/6)^x=36
1. 6²=36
2. (1/6)²=(1²/6²)=1/36
so Log(1/6)36=2
:) hope that helped...
User Hans Karlsen
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7.6k points
6 votes

Answer:


\text{log}_{(1)/(6)}(36)=-2

Explanation:

We have been given a logarithm expression
\text{log}_{(1)/(6)}(36). We are asked to evaluate our given expression.

Using logarithm rule
log_{(1)/(a)}(x)=-log_a(x), we can write our expression as:


\text{log}_{(1)/(6)}(36)=-\text{log}_6(36)


\text{log}_{(1)/(6)}(36)=-\text{log}_6(6^2)

Using logarithm rule
\text{log}_(a)(x^b)=b\text{log}_a(x), we will get:


\text{log}_{(1)/(6)}(36)=-2\text{log}_6(6)

Applying rule
\text{log}_(a)(a)=1, we will get:


\text{log}_{(1)/(6)}(36)=-2\cdot 1


\text{log}_{(1)/(6)}(36)=-2

Therefore,
\text{log}_{(1)/(6)}(36)=-2.

User Pvc
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7.0k points